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MATH WITH AGE PROBLEMS

by LYNN
(MIAMI, F.L.)

Grandpa age: 90

My age: 33

Lisa's age: 14

In years, how old was the older person when you were born?

Grandpa was 57 years old when I was born.

Write an equation that models how old in years each of you will be, when your ages add up to 150 years old.

x + 57 x + (x+57) = 150 (grandpa age and my age when our age's will equal to 150 years: 103.5 + 46.5 not sure how to put that in equation.

Explain the reasoning which helped you develop your equation. Solve for your future ages. Are your answers reasonable, do they add up to 150?

yes-reasonable and add up to 150: 103.5 + 46.5 = 150

In years, how old were you when the youngest person was born?

19 years old when Lisa was born.

At some point during the lives of you and the youngest person, your age will be three times his/her age at that moment. Write an equation which models how old in years each of you will be when you are three times as old as the younger person.

when I was 24, Lisa was 6 years old. at that time I was 3x'z Lisa's age.Explain the reasoning which helped you develop your equation. Solve the equation for your ages when you are three times as old as the youngest person. Are your answers reasonable?

I know the answer is reasonable, but I am not sure what to do, in order to put numbers in equation, please HELP ME

Comments for MATH WITH AGE PROBLEMS

When I was born, the age of the older person = 90 – 33 = 57 years old.

Allow my future age, to be (x) years old.

x + (x + 57) = 150

This equation is obtained by adding my age with grandpa's age, who is older than me. Since he is 57 years older than me, his age, in terms of x, will be x + 57 . By simplifying the above equation, it would be presented as follows:

x + x + 57 = 150

2x + 57 = 150

By solving the equation, it would be presented as follows:

My future age (which will equal ages together 150) will be 68 years old.

X + (X +57) =150 X + (X + 57) = 150

2X + 57 =150 68 + (68 + 14) = 150

2X + 57 -14 = 150 -14 68 + 8 = 150

2X = 136 150 = 150

2x/2 = 136/2

X = 68

With my conclusion, my answers wouldin fact be reasonable.

33 – 14 = 19 years.

When the youngest person was born, I was 19 years old.

My age will be three times her age during that time.

The equation is x = 3 (x 19)

In the above equation, my age is represented by x. Since I am 19 years older than the youngest persons (lisa), age will be:

Afterwards, the final equation would be formed or decided on or by the basis of the given calculation:

X = 3(X -19) 28.5 = 3(28.5-19)

X= 3X -57 28.5 = 3 (9.5)

3X- X = 57 28.5 = 28.5

2X = 57

2 2

X = 28.5

The conclusion is that when kylie was 9.½, I was 28.½ which was three times her age. The answers are reasonable because you can check them by plugging in the numbers and checking the answers. In my mathamatical conclusion, the results are very much reasonable; he future ages can not be less than the present ages.

Oct 16, 2011

MATH WITH AGE PROBLEMSby: Staff

-----------------------------------------------------------

Part II

Answer:

Grandpa age: 90
My age: 33
Lisa's age: 14

In years, how old was the older person when you were born?

Grandpa was 57 years old when I was born. (Grandpa’s current age – My current age = 90 - 33 = 57 years)

Write an equation that models how old in years each of you will be, when your ages add up to 150 years old.

Grandpa age + My age = 150

Let my future age be (x) years old.
x + (x + 57) = 150

This equation has been obtained by adding my age with grandpa's age, who is older than me (by 57 years) . Since he is 57 years older than me, his age, in terms of x, will be x + 57. By simplifying the above equation, it would be presented as follows:

x + x + 57 = 150

2x + 57 = 150

By solving the equation, it would be presented as follows:

2x + 57 = 150

2x + 57 - 57 = 150 - 57

2x + 0 = 150 - 57

2x = 150 - 57

2x = 93

2x/2 = 93/2

x * (2/2) = 93/2

x * (1) = 93/2

x = 93/2

x = 46.5

My age = 46.5

Grandpa’s age = 46.5 + 57 = 103.5

Explain the reasoning which helped you develop your equation.

Solve for your future ages.

Are your answers reasonable, do they add up to 150?

yes-reasonable and add up to 150: 103.5 + 46.5 = 150

In years, how old were you when the youngest person was born?

19 years old when Lisa was born. (My current age - Lisa’s current age = 33 - 14 = 19 year age difference)

At some point during the lives of you and the youngest person, your age will be three times his/her age at that moment.

Write an equation which models how old in years each of you will be when you are three times as old as the younger person.

There are two equations, with two unknowns:

My Age = 3 * Lisa's age

Lisa’s Age = My Age - 19 (since Lisa will always be 19 younger than I am)

Solving these equations for the two ages:

My Age = 3 * (My Age - 19)

My Age = (3 * My Age) - (3 * 19)

My Age = (3 * My Age) - 57

My Age + 57 = (3 * My Age) - 57 + 57

My Age + 57 = (3 * My Age) + 0

My Age + 57 = (3 * My Age)

My Age - My Age + 57 = (3 * My Age) - My Age

0 + 57 = (3 * My Age) - My Age

57 = (3 * My Age) - My Age

57 = 2 * My Age

57 / 2 = 2 * My Age / 2

57 / 2 = My Age * (2 / 2)

57 / 2 = My Age * (1)

57 / 2 = My Age

28.5 = My Age

My Age = 28.5

Lisa’s Age = My Age - 19

Lisa’s Age = 28.5 - 19

Lisa’s Age = 9.5

When I was 28.5 years old, Lisa’s age was 9.5 years old. At that point in time, my age was exactly three times Lisa’s age.

Thanks for writing.

Staff
www.solving-math-problems.com

Oct 16, 2011

MATH WITH AGE PROBLEMSby: Staff

Part I

Question:

by LYNN
(MIAMI, F.L.)

Grandpa age: 90

My age: 33

Lisa's age: 14

In years, how old was the older person when you were born?

Grandpa was 57 years old when I was born.

Write an equation that models how old in years each of you will be, when your ages add up to 150 years old.

x + 57 x + (x+57) = 150 (grandpa age and my age when our age's will equal to 150 years: 103.5 + 46.5 not sure how to put that in equation.

Explain the reasoning which helped you develop your equation.

Solve for your future ages. Are your answers reasonable, do they add up to 150?

yes-reasonable and add up to 150: 103.5 + 46.5 = 150

In years, how old were you when the youngest person was born?

19 years old when Lisa was born.

At some point during the lives of you and the youngest person, your age will be three times his/her age at that moment.

Write an equation which models how old in years each of you will be when you are three times as old as the younger person.

when I was 24, Lisa was 6 years old. at that time I was 3x'z Lisa's age.

Explain the reasoning which helped you develop your equation.

Solve the equation for your ages when you are three times as old as the youngest person. Are your answers reasonable?

I know the answer is reasonable, but I am not sure what to do, in order to put numbers in equation, please HELP ME
-----------------------------------------------------------

Feb 02, 2012

Trying to find a simple solutionby: Lost in MAT 126

I am trying to do this same problem in my Mat 126 class, which is were this is from. The ages I have to work with are Spouse 84, may age 60 and my grandson 20. Any direction would help.

Feb 02, 2012

Lost in MAT 126by: Staff

Question:

Spouse age: 84
My age: 60
Grandson age: 20

In years, how old was the older person when you were born?

Spouse was 24 years old when you were born. (Spouse’s current age - My current age = 84 - 60 = 24 years)

Write an equation that models how old in years each of you will be, when your ages add up to 150 years old.

Considering YOUR AGE and YOUR SPOUSE’S AGE only (ignoring your grandson’s age)

Spouse age + My age = 150

Let “my future age” be (x) years old. Your spouse was 24 years old when you were born.

x + (x + 24) = 150

This equation has been obtained by adding “my age” with “Spouse age”, who is always 24 years older than you. Since your Spouse’s age is 24 years older than you are, that age, in terms of x, will be x + 24. Simplify the equation as follows:

x + x + 24 = 150

2x + 24 = 150

You can solve for x as follows:

2x + 24 = 150

2x + 24 - 24 = 150 - 24

2x + 0 = 150 - 24

2x = 150 - 24

2x = 126

2x/2 = 126/2

x * (2/2) = 126/2

x * (1) = 126/2

x = 126/2

x = 63

My age = 63

Spouse age = 63 + 24 = 87

Explain the reasoning which helped you develop your equation.

Solve for your future ages. Are your answers reasonable, do they add up to 150?

yes-reasonable and add up to 150: 63 + 87 = 150

In years, how old were you when the youngest person was born?

40 years old when your Grandson was born. (My current age - Grandson’s current age = 60 - 20 = 40 year age difference)

At some point during the lives of you and the youngest person, your age will be three times his/her age at that moment.

Write an equation which models how old in years each of you will be when you are three times as old as the younger person.

There are two equations, with two unknowns:

My Age = 3 * Grandson's age

Grandson's age = My Age - 40 (since your Grandson will always be 40 years younger than you)

Solving these equations for the two ages:

My Age = 3 * (My Age - 40)

My Age = (3 * My Age) - (3 * 40)

My Age = (3 * My Age) - 120

My Age + 120 = (3 * My Age) - 120 + 120

My Age + 120 = (3 * My Age) + 0

My Age + 120 = (3 * My Age)

My Age - My Age + 120 = (3 * My Age) - My Age

0 + 120 = (3 * My Age) - My Age

120 = (3 * My Age) - My Age

120 = 2 * My Age

120 / 2 = 2 * My Age / 2

120 / 2 = My Age * (2 / 2)

120 / 2 = My Age * (1)

120 / 2 = My Age

60 = My Age

My Age = 60 years

Grandson's age = My Age - 40

Grandson's age = 60 - 40

Grandson's age = 20

When my age is 60 years old, by Grandson’s age is 20 years old.

At this point in time, my age is exactly three times my Grandson’s age.

(The fact that these ages are also your current ages is merely a coincidence.)